Matrix logarithmic wave equation and multi-channel systems in fluid mechanics

• Autorzy: Zloshchastiev Konstantin G.

Identyfikatory

DOI

10.15632/jtam-pl/112063

• Języki publikacji: EN

Abstrakty

EN

We formulate the mapping between a large class of nonlinear wave equations and flow equations for a barotropic fluid with internal surface tension and capillary effects. Motivated by statistical mechanics and multi-channel physics arguments, we focus on wave equations with logarithmic nonlinearity, and further generalize them to matrix equations. We map the resulting equation to flow equations of multi-channel or multi-component Korteweg-type materials. For some special cases, we analytically derive Gaussian-type matrix solutions and study them in the context of fluid mechanics.

Słowa kluczowe

EN

logarithmic BEC; quantum liquid; stability; collective oscillations

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2019
• Tom: Vol. 57 nr 4
• Strony: 843--852
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Zloshchastiev Konstantin G.

• Durban University of Technology, Institute of Systems Science, Durban, South Africa

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).